Home / 1,810-3,972

Finding the Third Proportional to 1,810 and 3,972

Calculator

Solution

The third proportional to 1,810 and 3,972 is: 8,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810 : 3,972 = 3,972 : x
  2. Step 2: Convert to fraction form
    1,810/3,972 = 3,972/x
  3. Step 3: Cross multiply
    1,810x = 3,972 × 3,972
  4. Step 4: Simplify right side
    1,810x = 15,776,784
  5. Step 5: Solve for x
    x = 15,776,784/1,810
  6. Step 6: Final answer
    x = 8,716.46

Related Problems

Find third proportional to 905 and 1,986
Half scale
Find third proportional to 3,620 and 7,944
Double scale
Find third proportional to 1,812 and 3,976
Similar ratio
Find third proportional to 2,715 and 5,958
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.